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Sample text

55) Let us then introduce a new dependent variable k(r), related to S(r) by p2 S ( r) = k(r) · r − 0 t, h¯ 2m¯h so h¯ k 2 0 Ψ (r, t) = Aeik(r)·re−i 2m t .

Using a onceintegrated version of Eq. 4), this can be recast as the deflection caused by an ideal lens of strength8 qy = Δy = Ky Δs, y where Ky = c(∂Bx /∂y ) . ( P0 c/e) 8) The factors in Eq. S. units; in particular P0 c/e is measured in volts when P0 c is measured in electron volts. 21) 11 12 1 Beams of Electrons or Photons Because of the Maxwell equation ∂Bx /∂y = ∂By /∂x, this vertical focusing strength is necessarily accompanied by horizontal focusing strength of opposite sign:9 q x = −qy . 23) ⎝ 0 0 1 0⎠ , 0 0 q 1 which acts on the vector ( x, x y, y )T .

Using a onceintegrated version of Eq. 4), this can be recast as the deflection caused by an ideal lens of strength8 qy = Δy = Ky Δs, y where Ky = c(∂Bx /∂y ) . ( P0 c/e) 8) The factors in Eq. S. units; in particular P0 c/e is measured in volts when P0 c is measured in electron volts. 21) 11 12 1 Beams of Electrons or Photons Because of the Maxwell equation ∂Bx /∂y = ∂By /∂x, this vertical focusing strength is necessarily accompanied by horizontal focusing strength of opposite sign:9 q x = −qy . 23) ⎝ 0 0 1 0⎠ , 0 0 q 1 which acts on the vector ( x, x y, y )T .

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